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# Disco geo ch 9

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Overview of Discovering Geometry Chapter 9 - The Pythagorean Theorem

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### Disco geo ch 9

1. 1. The Pythagorean Theorem Chapter 9
2. 2. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 .
3. 3. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle.
4. 4. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle.
5. 5. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle. If and only if (iff)
6. 6. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle. 9.3 Two Special Right Triangles 30 – 60 – 90 and 45 – 45 (isosceles) If and only if (iff)
7. 7. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle. 9.3 Two Special Right Triangles 30 – 60 – 90 and 45 – 45 (isosceles) 9.4 Story Problems (application) If and only if (iff)
8. 8. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle. 9.3 Two Special Right Triangles 30 – 60 – 90 and 45 – 45 (isosceles) 9.4 Story Problems (application) 9.5 Distance in Coordinate Geometry (application) If and only if (iff)
9. 9. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle. 9.3 Two Special Right Triangles 30 – 60 – 90 and 45 – 45 (isosceles) 9.4 Story Problems (application) 9.5 Distance in Coordinate Geometry (application) 9.6 Circles and the Pythagorean Theorem (extension) If and only if (iff)
10. 10. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle. 9.3 Two Special Right Triangles 30 – 60 – 90 and 45 – 45 (isosceles) 9.4 Story Problems (application) 9.5 Distance in Coordinate Geometry (application) 9.6 Circles and the Pythagorean Theorem (extension) Tangent perpendicular to radius Angle inscribed in semicircle If and only if (iff)